The measures of the angles of a triangle are shown in the figure below. Solve for x.

Answer:

Critical points are :       2/3, -4/3

Step-by-step explanation:

The interest rate is 9.6%.

Interest is the amοunt οf mοney paid οr earned fοr the use οf bοrrοwed mοney οr fοr the privilege οf keeping mοney in an accοunt. It is calculated as a percentage οf the principal (οriginal amοunt) and varies depending οn factοrs such as the interest rate, the length οf the lοan οr investment, and the cοmpοunding frequency.

Tο sοlve fοr the interest rate r, we can use the fοrmula fοr cοmpοund interest:

[tex]S = P*(1 + r)^n[/tex]

where S is the final amοunt, P is the principal (initial amοunt), r is the interest rate (as a decimal), and n is the number οf cοmpοunding periοds.

Plugging in the given values, we get:

[tex]9000 = 6890*(1 + r)^3[/tex]

Dividing bοth sides by 6890:

[tex]1.306 = (1 + r)^3[/tex]

Taking the cube rοοt οf bοth sides:

1.096 = 1 + r

Subtracting 1 frοm bοth sides:

r = 0.096 οr 9.6%

Therefοre, the interest rate is 9.6%.

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Using BIDMAS order of operations, we have: 1. 3 + 7 x (3 – 2) = 10; 2. (3 + 7) x 10 – 5 = 95; 3. 5 + (5 + 2) x (6 – 4) = 19.

BIDMAS is a mnemonic acronym that stands for the order of operations in arithmetic expressions:

B: Brackets (or Parentheses)

I: Indices (or Powers)

D: Division

M: Multiplication

A: Addition

S: Subtraction

It is a rule to determine the order in which to perform mathematical operations in an expression that contains more than one arithmetic operation.

1. 3 + 7 x (3 – 2)

= 3 + 7 x 1 (subtracting inside the parentheses first)

= 3 + 7

= 10

Therefore, 3 + 7 x (3 – 2) = 10.

2. (3 + 7) x 10 – 5

= 10 x 10 - 5 (adding inside the parentheses first)

= 100 - 5

= 95

Therefore, (3 + 7) x 10 – 5 = 95.

3. 5 + (5 + 2) x (6 – 4)

= 5 + 7 x 2 (subtracting inside the parentheses first)

= 5 + 14

= 19

Therefore, 5 + (5 + 2) x (6 – 4) = 19.

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Answer:

Step-by-step explanation:

The profit function for a company is calculated as the difference between the revenue and the total cost. The revenue is calculated by multiplying the number of units sold by the price per unit. The total cost is calculated by adding the fixed costs to the variable costs (calculated by multiplying the number of units produced by the cost per unit).

In this case, we can calculate the profit function P(x) as follows:

P(x) = Revenue - Total Cost P(x) = (Price per unit * Units sold) - (Fixed Costs + Variable Costs) P(x) = (639x) - (428136 + 126x) P(x) = 639x - 428136 - 126x P(x) = 513x - 428136

So for this company, a linear function for their profit in terms of units sold x would be P(x) = 513x - 428136.

Answer:

It was 8

Step-by-step explanation:

maaf kalo salah

semoga membantu

semangat belajar

We can be 99% confident that the true mean expenditure per person for the entire population of visitors falls between $35.72 and $41.78.

Mean expenditure per person for the entire population of visitors refers to the average amount of money spent by each person who visited a particular place, calculated across the entire population of visitors. To calculate the mean expenditure per person, you would add up the total amount of money spent by all visitors and divide that by the total number of visitors.

To develop a 99% confidence interval (CI) to provide an estimate of the mean expenditure per person for the entire population of visitors, we can use the following formula:

CI = X ± Zα/2 * (s/√n)  

Where:

X = sample mean = $38.75

s = sample standard deviation = $6.33

n = sample size = 29

Zα/2 = critical value from the standard normal distribution for a 99% confidence level, which is 2.576

Plugging in the values, we get:

CI = 38.75 ± 2.576 * (6.33/√29)

CI = 38.75 ± 2.576 * 1.176

CI = 38.75 ± 3.031

CI = [35.72, 41.78]

Therefore, we can be 99% confident that the true mean expenditure per person for the entire population of visitors falls between $35.72 and $41.78.

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By simplification, the cost of 48.5 kg of gasoline is approximately $0.04.

What is density?

Density is a physical property of matter that describes how much mass is present in a given volume of a substance. It is defined as the amount of mass per unit volume and is usually expressed in kilograms per cubic meter (kg/m³) or grams per cubic centimeter (g/cm³). The formula for density is:

Density = Mass / Volume

First, we need to find the volume of 48.5 kg of gasoline using its density:

Volume = Mass / Density = 48.5 kg / 900 g/L = 0.05389 L

Next, we can find the cost of this volume of gasoline:

Cost = Volume x Price per liter = 0.05389 L x $0.83/L = $0.0448

Rounding this to the nearest cent, we get:

Cost = $0.04

Therefore, the cost of 48.5 kg of gasoline is approximately $0.04.

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Answer:

-9 & -1

Step-by-step explanation:

-9*-1=9

-9+(-1)=10

done lol

Answer:

-9 and - 1

Step-by-step explanation:

Because it is two negatives they will become a positive 9 when multiplied and when you add them - 9+(-1) the positive and negative sign become a negative so it is negative nine minus 1 which gives you - 10

y=mx+c

-1=2(-3)+c

-1=-6+c

-1+6=c

c=5

therefore...

y=2x+5

Step-by-step explanation:

In

The equivalent οf the expressiοn 8(-x + 1/4) is -8x + 2.

A mathematical expressiοn is a phrase that cοntains a minimum οf twο numbers οr variables and at least οne mathematical οperatiοn. It's pοssible tο multiply, divide, add, οr subtract with this mathematical οperatiοn. An expressiοn's structure is as fοllοws:

Expressiοn: (Math Operatοr, Number/Variable, Math Operatοr).

The given expressiοn is 8(-x + 1/4)

The distributive prοperty:

Accοrding tο the distributive prοperty, it is mandatοry tο multiply each οf the twο numbers by the factοr befοre adding them tοgether when a factοr is multiplied by the sum οr additiοn οf twο terms. A (B+ C) = AB + AC is a symbοlic representatiοn οf this prοperty.

Apply the distributive prοperty:

= 8×(-x) + 8×(1/4)

= -8x + 2

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The coordinates of the vertices after the given reflection is:

Remember that for a general point (x, y), a reflection over the y-axis only changes the sign of the x-coordinate.

Then we will have the transformation:

(x, y) --> (-x, y)

Now we need to apply that to each one of the given vertices, we will get:

These are the coordinates of the vertices of the quadrilateral after the reflection over the y-axis.

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Answer:

Step-by-step explanation: its 13

y/8 ≤ 2 is equivalent to y ≤ 16.

Inequality in math is a statement that two expressions or values are not equal. This can be expressed using symbols such as >, <, ≥, or ≤. Inequality problems are used to solve for a variable that is not necessarily equal to a given value. An example of an inequality problem is finding the value of a variable in the equation x > 5. The solution to this problem is all real numbers greater than 5.

This is happening because when we divide both sides of the inequality y/8 by 8, we are essentially dividing both sides of the inequality by the same number. This preserves the order of the numbers and the inequality sign. So, dividing both sides by 8 results in y ≤ 16, which is the same as y/8 ≤ 2.

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4/9 of the students at Polk High School play football.

How to solve fraction?

If 2/3 of the students play a sport and 2/3 of those who play a sport play football, then the fraction of students who play football can be found by multiplying the two fractions:

(2/3) x (2/3) = 4/9

Therefore, 4/9 of the students at Polk High School play football.

To understand more clearly :-

Polk High School has a certain number of students, and 2/3 of them play a sport. Out of those who play a sport, 2/3 of them play football. The question asks what fraction of the students at Polk High School play football.

To solve the problem, we first need to find the fraction of students who play both a sport and football. We can do this by multiplying the fractions representing each of these groups of students. The product of 2/3 and 2/3 is 4/9, which represents the fraction of students at Polk High School who play both a sport and football.

Therefore, 4/9 of the students at Polk High School play football. This means that out of every 9 students, 4 of them play football and 5 of them do not. Alternatively, we can express this answer as a percentage by multiplying 4/9 by 100. This gives us 44.4%, meaning that approximately 44.4% of the students at Polk High School play football.

It is important to note that this answer assumes that all students at Polk High School play either a sport or no sport at all, and that all sports are equally likely to be played by students. If these assumptions are not true, the answer may not be accurate.

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The answer is (c) a sports car with $9,000 equity.

What is the equity?

Equity is the value of the shares you have purchased from a company. The equity you have gives value to you as a person based on your business or a business you support.

In a Chapter 7 bankruptcy, certain property may be exempt from liquidation, while other property may be subject to liquidation to repay creditors.

The exempt property is generally determined by state law, and may include things like a certain amount of equity in a primary residence, a vehicle, and personal property such as clothing and household goods.

Answer (a) refers to equity in a home, which may be exempt in certain cases depending on the state's homestead exemption laws. If the amount of equity in the home falls within the exemption limit, then it may be able to be kept in a Chapter 7 bankruptcy.

Answer (b) refers to a genuine leather jacket worth $600. In many cases, clothing and personal items are exempt in a Chapter 7 bankruptcy, so it is likely that the jacket could be kept.

Answer (c) refers to a sports car with $9,000 equity.

Depending on the state's motor vehicle exemption laws, the equity in the car may exceed the exemption limit and may need to be liquidated to repay creditors.

Answer (d) refers to automotive tools that you own.

Depending on the state's personal property exemption laws, the tools may be exempt and may be able to be kept in a Chapter 7 bankruptcy. However, if the value of the tools exceeds the exemption limit, they may need to be liquidated to repay creditors.

Therefore, the answer is (c) a sports car with $9,000 equity.

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Therefore, m angles for BCD is 98.5°.

An angle is formed when two straight lines or rays meet at a single terminal. The vertex of an angle is the location where two points converge. The Latin word "angelus," which means "corner," is where the term "angle" originates.

These two theorems allow us to calculate the angle BCD's measure as follows:

To establish the angle ECB's measure first, apply Theorem 1:

m ∠ECB = m ∠DBC = 77°

Next, we can use theorem 2 to find the measure of the arc ED:

m(arc ED) = 1/2 (m∠EBD + m∠ECD) = 1/2 (163° + m∠ECB)

Since arc ED is an exterior arc to angle BCD, we can find the measure of angle BCD as:

m ∠BCD = 1/2 (m(arc BD) + m(arc ED)) = 1/2 (77° + m(arc ED))

Substituting the value we found for m(arc ED), we get:

m ∠BCD = 1/2 (77° + 1/2 (163° + m ∠ECB))

Now, we can substitute the value we found for m ∠ECB to get:

m ∠BCD = 1/2 (77° + 1/2 (163° + 77°)) = 1/2 (77° + 120°) = 98.5°

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P(same number on both) = 10/60 = 1/6 and P(odd, even) or P(even, odd)  = 1/4

There are 10 possible outcomes on the 10-sided die and 6 possible outcomes on the 6-sided die

The total number of possible outcomes is 10 x 6 = 60.  

To get the same number on both, we need to get one of the 10 numbers on the first toss and then get the same number on the second toss. There are 10 ways to do this. Therefore, the probability of getting the same number on both is:

P(same number on both) = 10/60 = 1/6

b. To get an odd and an even number, we need to get an odd number on the first toss and an even number on the second toss, or vice versa.

There are 5 odd numbers and 5 even numbers on the 10-sided solid, and 3 even numbers and 3 odd numbers on the 6-sided solid.

Therefore, the probability of getting an odd and an even number, or an even and an odd number, is:

P(odd, even) or P(even, odd) = (5/10) x (3/6) + (5/10) x (3/6) = 1/4

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The doubling time for the hourly wage is approximately 14.54 years.

We can use the formula for exponential growth to solve for the doubling time: [tex]A = P * (1 + r)^t[/tex]

Where:

A = final amount (doubled hourly wage = $7.00 * 2 = $14.00)

P = initial amount (hourly wage = $7.00)

r = annual growth rate (unknown)

t = time (doubling time = unknown)

We can also use the given information to set up another equation:

[tex]13.27 = 7 * (1 + r)^{12[/tex]

To solve for r, we can isolate the exponential term and take the 12th root of both sides:

[tex](1 + r)^{12} = 13.27 / 7[/tex]

[tex]1 + r = (13.27 / 7)^{(1/12)[/tex]

[tex]r = (13.27 / 7)^{(1/12)} - 1[/tex]

r ≈ 0.0477

Now that we know the annual growth rate is approximately 0.0477, we can use the doubling time formula:

t = log(2) / log(1 + r)

t = log(2) / log(1 + 0.0477)

t ≈ 14.54

Therefore, the doubling time for the hourly wage is approximately 14.54 years.

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Answer:

Her lowest score was 80.

Step-by-step explanation:

5 x 88 = 440

4 x 90 = 360  

An equation we can use to find her lowest score:

Let x represent her lowest score

440 - x = 360

440 - 360 = x

x= 80

The total distance for the 4 hour trip can be calculated by adding the distances for each hour interval. 55.23 + 64 3/4 + 52 3/10 + 67.89 = 250 mi.

Distance is the measurement of how far apart two points are in space. It is an important concept in mathematics, science, engineering, and many other disciplines. Distance can be measured in terms of length, time, speed, and direction. Distance is often measured in units such as meters, kilometers, feet, and miles, but it can also be measured using other units such as light years. Distance is a concept that can be used to describe the physical relationship between two objects, the location of an object relative to another object, the length of a journey, or the amount of time it takes to travel between two points.

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Based on the data, we can infer that the difference in length after the garden increment is 4 feet on each side.

To find how much the garden increased in length and width we must carry out the following procedure:

First of all we must calculate the area of the garden:

According to this result we know that the increase is more than half in the values. Therefore, we can add 3 or more feet to each side and recalculate the area of the garden.

In this case we add 3 feet to each side and calculate the area that would give these side measurements 8 and 15. The area would be 120, you still wouldn't have enough length on the sides to have an area of 144.

In this case we add 4 feet on each side and calculate the area that would be given with these side measurements 9 and 16. The area would be 144, it would be the measurement mentioned in the statement.

Based on the above, we can infer that the rise is 4 feet on each side.

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Answer: The point-slope formula is given by:

y - y1 = m(x - x1)

where m is the slope of the line and (x1, y1) is a point on the line.

We have a point (1,2) and a slope of -5/6. Substituting these values into the point-slope formula, we get:

y - 2 = (-5/6)(x - 1)

Expanding and rearranging this equation gives:

y - 2 = (-5/6)x + (5/6)

y = (-5/6)x + (5/6) + 2

y = (-5/6)x + (17/6)

This is the equation of the line in slope-intercept form, y = mx + b, where m is the slope (-5/6) and b is the y-intercept (17/6).

Step-by-step explanation:

Therefore , the solution of the given problem of unitary comes out to be 105 different meal combos that could be made.

By combining the information obtained using this variable technique with all supplementary data from two individuals who used a specific tactic, the job can be completed. This mean that, if indeed the desired outcome materialises, either the stated person will be recognized or, in actuality, the colour by both huge processes will be skipped. For forty pens, a refundable charge of Rupees ($1.01) might be required.

Here,

b. The following formula can be used to determine the total interest charged over the loan's term:

=>  total interest = (monthly payment X n) - P .

There have been a total of:

=>  120 = ten years times one year.

The entire interest paid is thus:

=>  ($3,943.80) (total monthly installments * n) - P

=>  (131.19 * 120) - 9900 (rounded to the nearest dollar)

So, rounded to the closest dollar, Reh will pay about $3,944 in interest for the duration of his loan.

=>  7 entree choices, 5 drink options, and 3 dessert options are available.

We must add the number of drink options, entree options, and dessert options together to get the total number of potential meal combinations:

=> 5 x 7 x 3 = 105

There are 105 different meal combos that could be made.

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Answer:

y = -x + 9

Step by step explanation:

In order to write the equation of the line, we can write it in slope intercept form [tex]y=mx+b[/tex] where m is the slope and b is y intercept. Judging by the graph, we can see that the line is passing through (0,9) which makes that our y intercept.

To find the slope, we can count the slope using [tex]\frac{rise}{run}[/tex] or using the slope formula. For the sake of simplicity, we will count the slope, Counting the slope, we get [tex]\frac{-1}{1}[/tex] or simply [tex]-1[/tex]. Now we just have to plug our numbers into the formula.

[tex]y=-x+9[/tex]

The translation for this graph is represented by this transformation rule: C. (x + 3, y + 4)

In Mathematics, the translation of a geometric figure to the left simply means subtracting a digit from the value on the x-coordinate (x-axis) of the pre-image of a function while a geometric figure that is translated upward simply means adding a digit to the value on the y-coordinate (y-axis) of the pre-image.

In Mathematics, a vertical translation to the positive y-direction (upward) is modeled by this mathematical expression g(x) = f(x) + N while a horizontal translation to the right is modeled by this mathematical expression g(x) = f(x - N).

Where:

Based on the graph of the parent function, is given by the following transformation rule:

x - 3 = 0

x = 3.

y - 2 = 2

y = 4

Therefore, the transformation rule is (x, y)     →   (x + 3, y + 4)

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Complete Question:

What is the translation for this graph?

O(x-3.y-4)

O(x-4. y 3)

O(x+3, y+4)

O(x-4.y-3)

Answer:

sorrrrrry

Step-by-step explanation:

sorrrrrrŕreeeeeeey

The correct option is A, B and E  sets of ordered pairs

Pair is twο identical οr similar items that are intended tο be used tοgether. Examples οf pairs include shοes, sοcks, glοves, scissοrs, and chοpsticks. Pairs are οften used as a way tο create symmetry in a design, such as a pair οf matching curtains, οr tο fοrm a cοmplete unit, such as a pair οf bοοkends. In mathematics, a pair is twο elements that are related in sοme way and are usually represented by an οrdered set, such as (a, b).

Fοr example, in set A, the ratiο between the twο cοοrdinates is 2:160, 4:320, 5:400, and 8:640, which is the same in each pair.

Therefοre, the cοrrect οptiοn is A,B and E

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the total number of dinosaurs: George has collected 27 dinosaurs.

Multiplication is a mathematical operation that involves combining two or more numbers to find their total or product. It is a way to represent repeated addition. For example, 3 times 4 can be written as 3 x 4, which means adding 3 to itself 4 times to get a total of 12. Multiplication is denoted by the symbol "x" or "·" or "*", and the numbers being multiplied are called factors or multiplicands, while the result is called the product. Multiplication can be done using different methods, such as memorization of multiplication tables, or using algorithms like long multiplication or lattice multiplication. Multiplication is a fundamental operation in mathematics, and it is used in many areas of science, engineering, and economics.

Given by the question.

To find out how many dinosaurs George has collected, we can start by calculating 3/5 of the total number of dinosaurs:

3/5 x 45 = 27

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Answer:

39

Step-by-step explanation:

First you need to find the other missing angle, by subtracting 156.5 from 180. (because 180 is the angle of a straight line)

180-156.5=23.5

Then we can add the two angles

117.5+23.5=141

Since we know that all triangles' angles add up to 180, we can subtract the sum from 180 to get our answer.

180-141=39

We can check if this is right by adding all the angles again.

39+23.5+117.5=180

Therefore, c=39